Question

Use the properties of exponents to simplify each expression.

(-7x^2) x (-4x^5)

Answer 1

Multiply the coefficents and add the exponents :D

Answer 2

just multiply (-7) * (-4)
then (x^2)(x^5)
to multiply exponents you have to add x^a * x^b = X^(a+b)

Answer 3

use the process of Numbers Letters Powers Signs

so

\[-7 \times -4\times x^{2 + 5}\]

the index law for multiplication of the same base is add the powers.

Answer 4

So it would be 28^7 ?

Answer 5

well you have missed the letter or base... the number and power are correct

Answer 6

28x^7 ?

Answer 7

thats correct

Answer 8

Yes @Ell :)

Answer 9

Thank you so much guys!! GBU!! (: <3

Answer 10

Your always welcome :)

Answer 11

(-7x^2) x (-4x^5)
If the x above means multiplication if should be expressed
(-7x^2)X(-4x^5) or (-7x^2)(-4x^5)
This eliminates possible confusion, generally the second is preferred like xy
procedure factor out coefficients
(-7)(-4)(x^2)x^5)
use principles -- = +, (x^n)(x^m) = x^(n+m)

Answer 12

Thanx! it really helps! :)